A control device for continuously variable transmission includes an operating state detection means for detecting an operating state of a vehicle including a vehicle speed and an accelerator pedal opening, a control means for controlling a speed ratio of a continuously variable transmission based on the operating state, an acceleration request determination means for determining the presence or absence of an acceleration request of a driver based on the accelerator pedal opening, and a speed ratio setting means for setting a speed reduction ratio controlled by the control means to be smaller with an increase in an acceleration start vehicle speed if the accelerator pedal opening is equal during acceleration. The control means updates the acceleration start vehicle speed to a vehicle speed at the time of a determination after determining that the accelerator pedal opening has been increased during acceleration.